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Unformatted text preview: 252 Chapt. 33 Alternating Current or AC c) (i) PR E (ii) 0 . 50; 5 . × 10 − 5 . d) (i) PR E (ii) 0 . 42; 4 . 2 × 10 − 5 . e) (i) PR E 2 (ii) 0 . 50; 5 . × 10 − 5 . Full-Answer Problems 033 qfull 00540 2 3 0 moderate math: driven semi-parallel RLC circuit 1. What can be called a driven semi-parallel RLC circuit consists of an AC emf E = E cos( ωt ) in series with a resistor R and a parallel combination inductor L and capacitor C . The parallel combination is connected back to the AC emf to complete the circuit. a) Draw a diagram. In the main circuit branch, there is a current I . In the inductor branch, there is a current I 1 . In the capacitor branch, there is a current I 2 . The currents are considered unknowns in this problem. The other quantities are considered knowns. b) Write down three equations that in principle can be used to solve for the currents I , I 1 , and I 2 . c) The solution for current I is, in fact, I = I cos( ωt − φ ) = E Z cos( ωt − φ ) , where (non-complex) impedance...
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